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1. Given the ensuing news release, answer the following: In a non-partisan rando

ID: 3316778 • Letter: 1

Question

1. Given the ensuing news release, answer the following: In a non-partisan random survey conducted by the Republican National Committee, 96.1% of those sampled said they fully support President Donald Trump and his policies. The survey has .5% MOE and 99% CL.  

1.1   Determine the minimum sample size assuming the 96.1% outcome was expected

1.2   Determine the minimum sample size assuming no expectation about the outcome and hence assuming a worst case

1.3   Determine the CI for that given, namely, proportion = 96.1%, MOE = .5%, and CL = 99%

Explanation / Answer

1.1) for p=0.961 and MOE =0.005

and for 99% CI ; critical value of z =2.5758

sample size n =p(1-p)*(Z/E)2 =9947

1.2)

for no prior estimate p=0.5

sample size n =p(1-p)*(Z/E)2 =66349

1.3) for given condtion CI =proportion -/+ MOE = 96.1%-0.5% ; 96.1%+0.5% =95.6% ; 96.6%